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Finding the Fourth Proportional to 29,771.42, 44,658.81 and 9,782.18

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Solution

The fourth proportional to 29,771.42, 44,658.81 and 9,782.18 is: 14,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,771.42 : 44,658.81 = 9,782.18 : x
  2. Step 2: Convert to fraction form
    29,771.42/44,658.81 = 9,782.18/x
  3. Step 3: Cross multiply
    29,771.42x = 44,658.81 × 9,782.18
  4. Step 4: Simplify right side
    29,771.42x = 436,860,518.01
  5. Step 5: Solve for x
    x = 436,860,518.01/29,771.42
  6. Step 6: Final answer
    x = 14,673.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.